Problem:
Linear Algebra: Vectors - Inner Product
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Show that ||X||1=sum i=1 to n of the absolute value of Xi.
Show that ||x||infinity= max (1<=i<=n) of the absolute value of Xi.